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Finding the Third Proportional to 110,689 and 239,724

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Solution

The third proportional to 110,689 and 239,724 is: 519,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,689 : 239,724 = 239,724 : x
  2. Step 2: Convert to fraction form
    110,689/239,724 = 239,724/x
  3. Step 3: Cross multiply
    110,689x = 239,724 × 239,724
  4. Step 4: Simplify right side
    110,689x = 57,467,596,176
  5. Step 5: Solve for x
    x = 57,467,596,176/110,689
  6. Step 6: Final answer
    x = 519,180.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.